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This article is cited in 22 scientific papers (total in 22 papers)
Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups
T. E. Panovabc, Ya. A. Veryovkinad a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b State Scientific Center of the Russian Federation - Institute for Theoretical and Experimental Physics, Moscow
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
d Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Abstract:
We construct and study polyhedral product models for classifying spaces of right-angled Artin and Coxeter groups, general graph product groups and their commutator subgroups. By way of application, we give a criterion for the commutator subgroup of a graph product group to be free, and provide an explicit minimal set of generators for the commutator subgroup of a right-angled Coxeter group.
Bibliography: 21 titles.
Keywords:
right-angled Artin group, right-angled Coxeter group, graph product, commutator subgroup, polyhedral product.
Received: 20.03.2016 and 09.08.2016
Citation:
T. E. Panov, Ya. A. Veryovkin, “Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups”, Mat. Sb., 207:11 (2016), 105–126; Sb. Math., 207:11 (2016), 1582–1600
Linking options:
https://www.mathnet.ru/eng/sm8701https://doi.org/10.1070/SM8701 https://www.mathnet.ru/eng/sm/v207/i11/p105
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Abstract page: | 609 | Russian version PDF: | 149 | English version PDF: | 12 | References: | 58 | First page: | 29 |
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